Positive solutions for some nonlocal and nonvariational elliptic systems. Issue 3 (3rd March 2016)

• Record Type: Journal Article
• Authors: do Ó, João Marcos; Lorca, Sebastián; Sánchez, Justino; Ubilla, Pedro
• Is Part Of: Complex variables and elliptic equations. Volume 61:Issue 3(2016)
• Page Start: 297
• Page End: 314
• Publication Date: 2016-03-03
• Subjects: positive solutions -- fixed points in cones -- nonlocal elliptic equations -- functional differential equations -- annular domain -- exterior domain -- fourth-order ordinary equations; 35J55 -- 35B45 -- 35J47; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2015.1064404
• Languages: English
• ISSNs: 1747-6933

Abstract

Abstract : Using fixed point techniques, we study the existence and multiplicity of positive radial solutions for two classes of nonlocal elliptic systems defined on bounded annular domains or exterior domains. To this end, we reduce our problem to second-order functional ordinary elliptic systems. Our approach also allows us to study systems involving various orders, which serve as models for the suspension bridge equations.